10834867792000 has 128 divisors (see below), whose sum is σ = 30786503230080. Its totient is φ = 3714811776000.

The previous prime is 10834867791959. The next prime is 10834867792009. The reversal of 10834867792000 is 29776843801.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (10834867792009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48257946 + ... + 48481945.

It is an arithmetic number, because the mean of its divisors is an integer number (240519556485).

Almost surely, 2^{10834867792000} is an apocalyptic number.

10834867792000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10834867792000 is an abundant number, since it is smaller than the sum of its proper divisors (19951635438080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10834867792000 is an frugal number, since it uses more digits than its factorization.

10834867792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96739927 (or 96739905 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 55.

The spelling of 10834867792000 in words is "ten trillion, eight hundred thirty-four billion, eight hundred sixty-seven million, seven hundred ninety-two thousand".